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Finding the Fourth Proportional to 123,524.01, 184,382.03 and 106,105.77

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Solution

The fourth proportional to 123,524.01, 184,382.03 and 106,105.77 is: 158,382.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,524.01 : 184,382.03 = 106,105.77 : x
  2. Step 2: Convert to fraction form
    123,524.01/184,382.03 = 106,105.77/x
  3. Step 3: Cross multiply
    123,524.01x = 184,382.03 × 106,105.77
  4. Step 4: Simplify right side
    123,524.01x = 19,563,997,532.58
  5. Step 5: Solve for x
    x = 19,563,997,532.58/123,524.01
  6. Step 6: Final answer
    x = 158,382.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.